MATH 007: Elementary Algebra 3 cr.
Placement into this course is based on the student's performance on the math section of the ACT or a departmental diagnostic test. Introduces the student to the basic concepts of algebra, beginning with fundamental operations of real numbers and continuing through binary operations on polynomials. This includes algebraic addition, subtraction, multiplication, division, factoring, and fractions. Three hours of lecture. NOTE: Three hours will be added to the degree program of any student taking this course. Grading is on a pass/no credit basis.

MATH 111: Intermediate Algebra 3 cr.
Prerequisite: Passing grade in MATH 007 or sufficiently high score on the math section of the ACT. First degree equations and inequalities; exponents and polynomials: solving polynomial equations; rational and radical expressions; introduction to the Cartesian coordinate system; systems of liner equations and inequalities; quadratic equations; applications to problem solving. The laboratory will emphasize course topics in an interactive tutorial. Three hours of lecture and one hour of laboratory.

MATH 121: Algebra* 3 cr.
Prerequisite: MATH 111 or sufficiently high score on the math section of the ACT. Study of the straight line, conics, relations and functions, exponential and logarithmic functions, systems of equations and inequalities, matrices and determinants, sequences and series, binomial theorem, and mathematical induction. Three hours of lecture.

MATH 121S: Precalculus Algebra 3 cr.
Prerequisite: MATH 111 or a sufficiently high score on the math section of the ACT. Designed for students planning to take MATH 221. Topics include precalculus functions and their graphs, polynomial functions, rational functions, conic sections, exponential and logarithmic functions, systems of equations, sequences and series. Credit will not be given for both MATH 121 and MATH 121S. Three hours of lecture.

MATH 122: Plane Trigonometry 3 cr.
Prerequisite: MATH 121 or MATH 121S (recommended) or consent of the department. Definition of the trigonometric functions and their graphic representation; solutions of triangles; graphic representation; polar coordinates and graphs; identities; inverse functions, trigonometric equations; and complex numbers. Three hours of lecture.

MATH 124: Mathematical Concepts 3 cr.
Prerequisite: MATH 121 or MATH 121S or consent of the department. A course designed to introduce the liberal arts student to real world applications of mathematics. Topics include logic, numeration systems, mathematical systems, counting principles, and probability and statistics. Three hours of lecture.

MATH 127: Mathematics for Elementary School Teachers 3 cr.
Prerequisite: MATH 121 or MATH 121S or consent of the department. This course is designed for elementary education majors. The emphasis of the course is problem solving. Topics include numeral systems, theory of arithmetic, whole numbers, integers, rational numbers, decimal representations, real numbers, probability, and statistics. Open only to students enrolled in elementary education. Three hours of lecture.

MATH 131: Elementary Applied Calculus 3 cr.
Prerequisite: MATH 121 or MATH 121S or consent of the department. A non-rigorous approach to calculus: functions, graphing, limits, continuity, differentiation, integration; applications from business, biological science, social science, and behavioral science. Three hours of lecture.

MATH 201: Discrete Mathematics 3 cr.
Prerequisite: MATH 121 or MATH 121S or consent of the department. Logic and Boolean algebra, set theory, graph theory, and counting techniques. Three hours of lecture.

MATH 210: Applied Statistics 3 cr.
Prerequisite: MATH 121 or MATH 121S or consent of the department. This course is appropriate for students in all majors other than mathematics. Topics include descriptive statistics; elementary counting principles and probability, the Binomial distribution, the Normal distribution, hypothesis testing, analysis of variance, chi-square tests, regression and correlation. Three hours of lecture.

MATH 217: Mathematics for Elementary School Teachers II 3 cr.
Prerequisite: MATH 127 with a grade of C or better. This course is designed for elementary education majors. A study of basic Euclidean geometry, measurement and other topics chosen to give the elementary school teacher the mathematical background necessary for the present elementary school curriculum. Open only to students enrolled in Elementary Education. Three hours of lecture.

MATH 218: Mathematics for Elementary School Teachers III 3 cr.
Prerequisite: MATH 127 and MATH 217 with a grade of C or better. This course is designed for elementary majors. Topics include descriptive statistics, probability, algebraic patterns and functions, structure and properties of various number systems. Open only to students enrolled in Elementary Education. Three hours of lecture.

MATH 220: Calculus with Algebra 7 cr.
Prerequisite: MATH 111 and consent of the department. This course is designed for highly motivated entering freshmen and returning students who want to take Calculus 221 but desire or need some review in algebra at the same time. Students should have had prior exposure to trigonometry. The course makes intensive use of the department computer lab, but no previous computer experience is required. Content is equivalent to MATH 121 and MATH 221.

MATH 221: Analytic Geometry and Calculus I 4 cr.
Prerequisite: MATH 121S and MATH 122, or consent of the department. Topics include limits and continuity; derivatives and antiderivatives with applications; transcendental functions. Students may be required to have a graphing calculator. Four hours of lecture and one hour of lab.

MATH 222: Analytic Geometry and Calculus II 4 cr.
Prerequisite: MATH 221. Topics include integration techniques, infinite series; conic sections; parametric equations and polar coordinates. Students may be required to have a graphing calculator. Four hours of lecture and one hour of lab.

MATH 223: Analytic Geometry and Calculus III 4 cr.
Prerequisite: MATH 222. Topics include vectors and geometry of space; vector-valued functions; functions of several variables; multiple integration; vector analysis. Students may be required to have a graphing calculator. Four hours of lecture and one hour of lab.

MATH 235: Foundations of Mathematics 3 cr.
Prerequisite: MATH 222. A study of logic and truth tables, methods of proof, induction, set theory, functions, equivalence relations, and construction of the real number system. Three hours of lecture.

MATH 254: Linear Algebra 3 cr.
Prerequisite: MATH 221. System of linear equations; vector spaces; linear transformations; matrices and determinants. Three hours of lecture.

MATH 260: Elementary Statistics 3 cr.
Prerequisite: MATH 121 or either CSC 115 or ISDS 150, or consent of the department. Introduction to basic statistical concepts, including measures of central tendency and dispersion; probability; discrete distributions, including the binomial, Poisson, and hypergeometric; continuous distributions, including the normal, Chi-square, and F; sampling distributions; hypothesis testing, and introduction to the use of statistical packages. Three hours of lecture.

MATH 290: Selected Topics 3 cr.
Prerequisite: Consent of the department. Topics to be announced by the Department of Mathematics. Three hours of lecture.

MATH 304: Linear Algebra 3 cr.
Prerequisite: MATH 254. Eigenvalues and eigenvectors, functions of vectors, inner product spaces; spectral decomposition. Three hours of lecture.

MATH 310: Statistical Methods 3 cr.
Prerequisite: MATH 221 and MATH 260 or consent of the department. Linear and multiple regression, correlation, analysis of enumerative data, one- and two-way analysis of variance, and nonparametric statistics. Students will be expected to analyze data sets using available statistical packages.Three hours of lecture.

MATH 331: Advanced Calculus I 3 cr.
Prerequisite: MATH 223. A detailed study of the fundamental concepts of calculus including limits; derivatives and continuity; the real number system; functions of several variables: partial differentiation; integration, line integrals; infinite series. Three hours of lecture.

MATH 332: Advanced Calculus II 3 cr.
Prerequisite: MATH 331. Infinite series, power series; Fourier series; improper integrals; implicit functions; point set theory; transformations and mappings; multiple integrals. Three hours of lecture.

MATH 355: Elementary Differential Equations 3 cr.
Prerequisite: MATH 222. Beginning course in ordinary differential equations. Topics include solutions to linear equations, series solutions to linear equations, Laplace transform techniques and applications to mixing problems, motions problems, trajectory problems and electric circuit problems. Three hours of lecture.

MATH 390: Selected Topics in Mathematics 3 cr.
Prerequisite: Consent of the department. Topics to be announced by the mathematics department. Three hours of lecture.

MATH 407: College Geometry 3 cr.
Prerequisite: MATH 235 or consent of the department. The course begins with a review and reconstruction of basic Euclidean geometry and continues with more advanced topics. Three hours of lecture.

MATH 409: Number Theory 3 cr.
Prerequisite: MATH 235. A survey of divisibility, congruencies, the Chinese remainder theorem, quadratic reciprocity, Diophantine equations, continued fractions, and other selected topics. Three hours of lecture.

MATH 413: History of Mathematics 3 cr.
Prerequisite: MATH 221 or consent of the department. A survey of early numeral systems; Babylonian, Egyptian, and Oriental mathematical achievements; classical Greek discoveries that led to later European developments. Three hours of lecture.

MATH 414: Biostatistics 3 cr.
Prerequisite: MATH 222 and MATH 310 or consent of the department. This course is designed for those interested in epidemiology and statistics related to the life sciences. Topics include sample surveys, life tables, survival analysis, clinical trials, longitudinal studies, bioassay, and sequential techniques. Three hours of lecture.

MATH 418: Statistical Quality Control 3 cr.
Prerequisite: MATH 122 and MATH 260, or consent of the department. Topics include modeling process quality, inferences about process quality, control charts for variables, control charts for attributes, acceptance sampling, and reliability. Three hours of lecture.

MATH 420: Numerical Analysis I 3 cr.
Prerequisite: CSC 112 or 140; MATH 222; and MATH 254. Theory and application of numerical techniques for approximation of functions, solutions of equations of one variable and systems of linear equations, interpolation and curve fitting, integration and differentiation, and solution of ordinary differential equations. Three hours of lecture.

MATH 421: Numerical Analysis II 3 cr.
Prerequisite: MATH 420. Topics may vary but may include theory and application of numerical techniques for approximation by spline functions, solutions of boundary value problems, partial differential equations, systems of ordinary differential equations, minimization of multivariate functions, and linear programming. Three hours of lecture.

MATH 436: Complex Analysis I 3 cr.
Prerequisite: MATH 223. Complex numbers, analytic functions, elementary functions and mapping elementary functions; integrals; power series; residues; poles; residue theorem and applications. Three hours of lecture.

MATH 437: Complex Analysis II 3 cr.
Prerequisite: MATH 436. Conformal mapping and applications, Schwarz Christoffel transformation, Poison integrals, boundary value problems, analytic continuation, and other related topics. Three hours of lecture.

MATH 440: Partial Differential Equations 3 cr.
Prerequisite: MATH 223 and 355. Fourier series; special functions; boundary value problems, partial differential equations of mathematical physics. Three hours of lecture.

MATH 445: Differential Equations 3 cr.
Prerequisite: MATH 355. Topics may include the study of dynamical systems, nonlinear system of ordinary differential equations, numerical techniques, and a rigorous treatment of the theory or ordinary differential equations. Three hours of lecture.

MATH 451: Real Analysis I 3 cr.
Prerequisite: MATH 223 and 235. Study of sequences and series, limits, continuity, metric spaces, and selected classical sequence and function spaces. Three hours of lecture.

MATH 452: Real Analysis II 3 cr.
Prerequisite: MATH 451. Study of connectedness, completeness, and compactness; measure theory and integration theory; Taylor series; and sequences and series of functions. Three hours of lecture.

MATH 453: Actuarial Mathematics I 3 cr.
Prerequisite: MATH 222 and MATH 260 or consent of the department. Designed for students interested in taking the first actuarial examination. Topics include probability theory in the context of risk and insurance, conditional distributions and expectations, ordered statistics, moment generating functions, discrete and continuous random variables including binomial, Poisson, uniform, and exponential. Three hours of lecture.

MATH 454: Actuarial Mathematics II 3 cr.
Prerequisite: MATH 453 or consent of the department. Designed for students interested in the actuarial science profession. Topics include limiting distributions, sufficient statistics, theory of statistical test, economics of insurance, individual risk models for a short term, survival distributions and life tables. Three hours of lecture.

MATH 455: Probability and Statistics I 3 cr.
Prerequisite: MATH 223 or consent of the department. Probability theory; density functions; expectation; moment generating functions; discrete random variables, including binomial, Poison, geometric, hypergeometric, and negative binomial; and continuous random variables, including normal, Chi Square, gamma, and uniform. Three hours of lecture..

MATH 456: Probability and Statistics II 3 cr.
Prerequisite: MATH 455. Distributions of functions of random variables, limiting distributions, central limit theorem, estimation, confidence intervals, hypothesis testing, and nonparametric methods. Three hours of lecture.

MATH 461: Abstract Algebra I 3 cr.
Prerequisite: MATH 235. The study of group theory including subgroups, congruence and cosets, permutations, and quotient groups, mappings that preserve relations, other abstract algebras. Three hours of lecture.

MATH 462: Abstract Algebra II 3 cr.
Prerequisite: MATH 461. The study of rings; integral domains, fields and extensions of fields, modules and ideals. Three hours of lecture.

MATH 471: Introduction to Topology 3 cr.
Prerequisite: MATH 235 or consent of the department. Topological spaces; metric spaces; product and quotient spaces; separation properties; connectedness and compactness. Three hours of lecture.

MATH 475: Internship in Math 3 cr.
Prerequisites: Credit for at least 60 hours, 2.5 cumulative GPA, and 2.75 GPA in mathematics. Employment focused on applications of mathematics with a qualified employer. The course requires written reports detailing the objectives, progress and completion of the internship. Three hours of credit on a Pass/No Credit basis. May be repeated for a maximum of six credit hours. Credit may not be applied to the mathematics elective portion of the mathematics major.

MATH 490: Selected Topics in Mathematics 3 cr.
Prerequisite: Consent of the department. May be repeated for credit when the topics vary. Topics to be announced by the department. Three hours of lecture.

MATH 495: Independent Studies 3 cr.
Prerequisite: Consent of the department. May be repeated for credit for a maximum of six semester hours. Readings, conferences, and reports under the guidance of a member of the Mathematics faculty. Three hours of research.

MATH 498: Senior Seminar 3 cr.
Prerequisite: Senior standing or consent of the department. A series of independent reading projects guided by a faculty member in the department and leading to written and oral presentations of results. Students wishing to earn certification for secondary school teaching must choose at least one topic recommended by the NCTM that has not been covered in previous courses. Three hours of research.

MATH 607: College Geometry 3 cr.
Prerequisite: MATH 222 or consent of the department. The course begins with a review and reconstruction of basic Euclidean geometry and continues with more advanced topics. Three hours of lecture.

MATH 609: Number Theory 3 cr.
Prerequisite: Math 235 or consent of the department. A survey of divisibility, congruencies, the Chinese remainder theorem, quadratic reciprocity, Diophantine equations, and other selected topics. Three hours of lecture.

MATH 613: History of Mathematics 3 cr.
Prerequisite: MATH 221. A survey of early numeral systems; Babylonian, Egyptian, and Oriental mathematical achievements, and classic Greek discoveries that led to later European developments. Three hours of lecture.

MATH 620: Numerical Analysis I 3 cr.
Prerequisite: CSC 112 or 140; MATH 222; and MATH 254. Theory and application of numerical techniques for approximation of functions, solutions of equations of one variable and systems of linear equations, interpolation and curve fitting, integration and differentiation, and solution of ordinary differential equations. Three hours of lecture.

MATH 621: Numerical Analysis II 3 cr.
Prerequisite: MATH 420. Topics may vary but may include theory and application of numerical techniques for approximation by spline functions, solutions of boundary value problems, partial differential equations, systems of ordinary differential equations, minimization of multivariate functions, and linear programming. Three hours of lecture.

MATH 636: Complex Analysis I 3 cr.
Prerequisite: MATH 223. Complex numbers, analytic functions, elementary functions and mapping elementary functions, integrals; power series, residues; poles; residue theorem and applications. Three hours of lecture.

MATH 637: Complex Analysis II 3 cr.
Prerequisite: MATH 636. Conformal mapping and applications, Schwarz-Christoffel transformation, Poison integrals, boundary value problems, analytic continuation, and other related topics. Three hours of lecture.

MATH 640: Partial Differential Equations 3 cr.
Prerequisite: MATH 223 and 355. Fourier series; special functions, boundary value problems, partial differential equations of mathematical physics. Three hours of lecture.

MATH 645: Differential Equations 3 cr.
Prerequisite: MATH 355. A course in ordinary differential equations with attention to theory. Three hours of lecture.

MATH 651: Real Analysis I 3 cr.
Prerequisite: MATH 223. Study of sequences and series, limits, continuity, metric spaces, and selected classical sequence and function spaces. Three hours of lecture.

MATH 652: Real Analysis II 3 cr.
Prerequisite: MATH 451. Study of connectedness, completeness, and compactness; measure theory and integration theory; Taylor series; and sequences and series of functions. Three hours of lecture.

MATH 655: Probability and Statistics I 3 cr.
Prerequisite: MATH 223 or consent of the department. Probability theory; density functions; expectation; moment generating functions; discrete random variables, including binomial, Poison, geometric, hypergeometric, and negative binomial; and continuous random variables, including normal, Chi Square, gamma, and uniform. Three hours of lecture.

MATH 656: Probability and Statistics II 3 cr.
Prerequisite: MATH 655. Distributions of functions of random variables, limiting distributions, central limit theorem, estimation, confidence intervals, hypothesis testing, and nonparametric methods. Three hours of lecture.

MATH 661: Abstract Algebra I 3 cr.
Prerequisite: MATH 235. The study of group theory including subgroups, congruence and cosets, permutations, and quotient groups, mappings that preserve relations, other abstract algebras. Three hours of lecture.

MATH 662: Abstract Algebra II 3 cr.
Prerequisite: MATH 461. The study of rings; integral domains, fields and extensions of fields, modules and ideals. Three hours of lecture.

MATH 671: Introduction to Topology 3 cr.
Prerequisite: MATH 235 or consent of the department. Topological spaces; metric spaces, product and quotient spaces; separation properties; connectedness and compactness. Three hours of lecture.

MATH 690: Selected Topics in Mathematics 3 cr.
Prerequisite: Consent of the department. May be repeated for credit for a maximum of six semester hours. Topics to be announced by the department. Three hours of lecture.

MATH 695: Independent Study 3 cr.
Prerequisite: Consent of the department. May be repeated for credit for a maximum of six semester hours. Readings, conferences, and reports under the guidance of a member of the Mathematics faculty. Three hours of research.

MATH 790: Selected Topics in Mathematics 3 cr.
Prerequisite: Consent of the department. May be repeated for credit for a maximum of 6 credit hours. Topics to be announced by the Mathematics Department. Three hours of lecture.

MATH 792: Directed Readings in Mathematics Literature 3 cr.
Prerequisite: Consent of the department. Articles selected from approved professional journals will be assigned to each student. The student's interests and background will be considered in the selection of the articles. The student will be required to demonstrate mastery of the material assigned. May be repeated for a maximum of six semester hours. Three hours of independent study.

MATH 795: Independent Study in Mathematics 3 cr.
Independent study in Mathematics. An independent project or study directed by an assigned faculty member.

MATH 799: Thesis 3 cr.
Thesis. Research project carried out under the supervision of assigned faculty member. May be repeated.